First slide

Pair of straight lines

Question

The area of the triangle formed by the two rays whose combined equation is $y = | x |$ and the line $x + 2 y = 2$ (in sq. units)

Moderate

A

4
B

$\frac{4}{3}$
C

$\frac{8}{3}$
D

$\frac{16}{3}$

Solution

Given lines are $x^{2} - y^{2} = 0$ and $x + 2 y - 2 = 0$ Area of the triangle $= \frac{n^{2} \sqrt{h^{2} - a b}}{| a m^{2} - 2 h l m + b l^{2} |} = \frac{4}{3}$ sq. units

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